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Finding the Fourth Proportional to 1,165.50, 1,748.12 and 299.82

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Solution

The fourth proportional to 1,165.50, 1,748.12 and 299.82 is: 449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.50 : 1,748.12 = 299.82 : x
  2. Step 2: Convert to fraction form
    1,165.50/1,748.12 = 299.82/x
  3. Step 3: Cross multiply
    1,165.50x = 1,748.12 × 299.82
  4. Step 4: Simplify right side
    1,165.50x = 524,121.34
  5. Step 5: Solve for x
    x = 524,121.34/1,165.50
  6. Step 6: Final answer
    x = 449.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.